Posted by **Amy** on Tuesday, February 15, 2011 at 12:28am.

a piece of cardboard is twice as it is wide. It is to be made into a box with an open top by cutting 2-in squares from each corner and folding up the sides. Let x represent the width (in inches) of the original piece of cardboard.

a.Represent the length of the original piece of cardboard in terms of x

b.What will be the dimension of the bottom rectangular base of the box? Give the restrictions on x.

c. Determine function V that represents the volume of the box in terms of x.

d. For what dimension of the bottom of the box will the volume be 320in?

e. Find the values of x (to the nearest tenth of an inch) if such a box is to have a volume between 400 and 500 in.

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